5 3/4-2 7/8+1 1/2

Answer 1

Least common multiple of denominators 4 , 8 and 2 is 8.

Write fractions as:

3 / 4 = 2 ∙ 3 / 2 ∙ 4 = 6 / 8

1 / 2 = 4 ∙ 1 / 4 ∙ 2 = 4 / 8

Your mixed fractions are:

5 3/4 = 5 + 3 / 4 = 5 + 6 / 8

1 1 / 2 = 1 + 1 / 2 = 1 + 4 / 8

2 7/8 = 2 + 7/8

5 3/4 -2 7/8 +1 1/2 = 5 + 6 / 8 - ( 2 + 7 / 8 ) + 1 + 4 / 8 =

5 + 6 / 8 - 2 - 7 / 8 + 1 + 4 / 8 = 5 - 2 + 1 + 6 / 8 - 7 / 8 + 4 / 8

= 4 + 3 / 8 = 4 3/8

OR

5 3/4 = 8 ∙ 5 / 8 + 3 / 4 = 40 / 8 + 6 / 8 = 46 / 8

2 7/8 = 8 ∙ 2 / 8 + 7 / 8 = 16 / 8 + 7 / 8 = 23 / 8

1 1/2 = 8 ∙ 1 / 8 + 1 / 2 = 8 / 8 + 4 / 8 = 12 / 8

5 3/4-2 7/8+1 1/2 = 46 / 8 - 23 / 8 + 12 / 8 = 35 / 8 =

32 / 8 + 3 / 8 = 4 + 3 / 8 = 4 3/8